If assumptions 1 - 5 are satisfied the formula for the standard error of ; is SE(Bj) = n 82 (i)(1- R) a) With reference to the above formula what happens to the standard error of ; if xi becomes less correlated with the other x's? (1-2 sentences; or just use symbols.) b) If the standard error of ; decreases does that make it more or less likely for us to be near Bj? (1 word) C There are two regressions that each have four independent variables (x1, x2, x3, x4) and the same dependent variable y. Both regressions are exactly the same except that in the first regression x2 is significantly more correlated with the other independent variables. What would be true about the standard error of x2 in the first regression versus the second regression? (Use the above formula to help answer this question, briefly explain why.)